# What is the slope of the line passing through the following points:  ( -1, 5) ,(7, -2) ?

Jan 12, 2016

slope = $- \frac{7}{8}$

#### Explanation:

To find the slope of the line use the 'gradient formula' .

slope = m = $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {y}_{1}}$

where $\left({x}_{1} , {y}_{1}\right) \mathmr{and} \left({x}_{2} , {y}_{2}\right)$ are 2 coordinate points on the line.

in this question let $\left({x}_{1} , {y}_{1}\right) = \left(- 1 , 5\right) , \left({x}_{2} , {y}_{2}\right) = \left(7 , - 2\right)$

substituting these values into the formula to obtain :

$m = \frac{- 2 - 5}{7 - \left(- 1\right)} = - \frac{7}{8}$